1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lady_Fox [76]
3 years ago
7

Find the equation of the line that is perpendicular to Y=6x+3 and passes through the point (-24,5)

Mathematics
1 answer:
Phantasy [73]3 years ago
5 0
The slope of the given line is the coefficient of x, 6. The slope of the perpendicular line will be the negative reciprocal of that, -1/6. Then the point-slope form of the equation of the line is
  y = m(x -h) +k . . . . . . line with slope m through point (h, k)
You want m=-1/6, (h, k) = (-24, 5), so your equation is
  y = (-1/6)(x +24) +5
  y = (-1/6)x +1

You might be interested in
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard
laiz [17]

Answer:

option B.

About 16% of the books have fewer than 150 pages

Step-by-step explanation:

Since we are dealing with a normal distribution

68.27% of the values will fall in the range with the standard deviation

(180-30 , 180+30) = (150, 210)

Approximately 15.86% of the values will be higher than 210

and the rest 15.86% will be lower than 150

So the correct answer is option B.

About 16% of the books have fewer than 150 pages

4 0
3 years ago
16. Find the values of x and y. (2y + 5) (5x - 17) (3x – 11)º
serg [7]

Answer:

x = 26

y = 9

Step-by-step explanation:

(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)

Solve for x

5x - 17 + 3x - 11 = 180

Collect like terms

5x + 3x - 17 - 11 = 180

8x - 28 = 180

Add 28 to both sides

8x = 180 + 28

8x = 208

Divide both sides by 8

x = 208/8

x = 26

Also:

(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)

Plug in the value of x and solve for y

2y + 5 + 90 + 3(26) - 11 = 180

2y + 5 + 90 + 78 - 11 = 180

Collect like terms

2y + 162 = 180

Subtract 162 from both sides

2y = 180 - 162

2y = 18

y = 9 (dividing both sides by 2)

6 0
3 years ago
Write a word problem for this inequality <br> 72-12a&lt;24
dusya [7]
Think of absolute value and inverse operation, +72 to 72 and 24
5 0
3 years ago
-7(-2x - 3) = 35<br>x=?<br><br>-8(4x + 3) = 40<br>x=?<br><br>2(8 - 5x) = -44<br>x=?
STALIN [3.7K]
Use distributive property: multiply the number outside the bracket by each number inside it

1. 14x+21=35 14x=14 x=1
2. -32x-24=40 -32x=64 x= -2
3. 16-10x=-44 -10x=-60 x=6
5 0
3 years ago
12) Domain<br> Range<br> Function?<br> -2
Kisachek [45]

Answer: The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Solve for x: 3/4x+5/8=4x
    10·1 answer
  • If you understand, please put the answer!
    9·1 answer
  • Which of the following is equal to the fraction below? (7/4)^ 11
    9·2 answers
  • Did I graph this linear equation correctly?​
    15·1 answer
  • HELPPPP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
    13·1 answer
  • Please help! Will give brainliest to CORRECT ANSWER!!
    15·1 answer
  • consider that 15(1.055)^x shows the balance in a savings account over time with no additional deposits or withdrawals. Which sta
    14·2 answers
  • Pls helppp 3 part question
    15·2 answers
  • To make an international telephone​ call, you need the code for the country you are calling. The codes for country​ A, country​
    9·1 answer
  • Which terms could have a greatest common factor of 5m2n2? Select two options.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!